จำนวนป, โซ, ชยรฆว, หร, จำนวนป, โซ, งกฤษ, pisot, vijayaraghavan, number, ในทางคณ, ตศาสตร, เป, นจำนวนพ, ชคณ, ตท, ามากกว, แต, งย, คท, กต, วม, าส, มบ, รณ, อยกว, 1ต, วอย, างเช, เป, นจำนวนอตรรกยะด, กร, สอง, จะม, งย, คเพ, ยวต, วเด, ยว, งเก, ดจากการเปล, ยนเคร, องหมายข. canwnpios wichyrkhwn hrux canwnpios xngkvs Pisot Vijayaraghavan number inthangkhnitsastr epncanwnphichkhnitthimikhamakkwa 1 aetsngyukhthuktwmikhasmburnnxykwa 1twxyangechn tha a epncanwnxtrrkyadikrisxng camisngyukhephiywtwediyw khux a sungekidcakkarepliynekhruxnghmaykhxngrakin a cak a a b d displaystyle alpha a b sqrt d epn a a b d displaystyle alpha a b sqrt d sungenguxnikhkarepncanwnpios wichyrkhwnkhux a gt 1 displaystyle alpha gt 1 aela 1 lt a lt 1 displaystyle 1 lt alpha lt 1 eraphbwa xtraswnthxng f sxdkhlxngkbenguxnikhdngklaw enuxngcak f 1 5 2 gt 1 displaystyle varphi frac 1 sqrt 5 2 gt 1 aela 1 lt f 1 5 2 lt 1 displaystyle 1 lt varphi frac 1 sqrt 5 2 lt 1 phlbwkkhxngkalngkhxngcanwnpios wichyrkhwn aelakalngkhxngsngyukhcamikhaepncanwnetm dngnn eracungsamarthsrangcanwnekuxbetmkhuncakkalngsung khxngcanwnpios wichyrkhwnidcanwnthimikhanxythisudkhuxrakthiepncanwncringkhxngphhunam x 3 x 1 displaystyle x 3 x 1 hruxmikhapraman 1 324718 sungruckkninchux canwnphlastikraychuxcanwnpios wichyrkhwn aekikhcanwnpios wichyrkhwn thimikhanxykwaxtraswnthxng mithnghmd 38 canwn dngni kha rakkhxngsmkar1 1 3247179572447460260 x 3 x 1 displaystyle x 3 x 1 2 1 3802775690976141157 x 4 x 3 1 displaystyle x 4 x 3 1 3 1 4432687912703731076 x 5 x 4 x 3 x 2 1 displaystyle x 5 x 4 x 3 x 2 1 4 1 4655712318767680267 x 3 x 2 1 displaystyle x 3 x 2 1 5 1 5015948035390873664 x 6 x 5 x 4 x 2 1 displaystyle x 6 x 5 x 4 x 2 1 6 1 5341577449142669154 x 5 x 3 x 2 x 1 displaystyle x 5 x 3 x 2 x 1 7 1 5452156497327552432 x 7 x 6 x 5 x 2 1 displaystyle x 7 x 6 x 5 x 2 1 8 1 5617520677202972947 x 6 2 x 5 x 4 x 2 x 1 displaystyle x 6 2x 5 x 4 x 2 x 1 9 1 5701473121960543629 x 5 x 4 x 2 1 displaystyle x 5 x 4 x 2 1 10 1 5736789683935169887 x 8 x 7 x 6 x 2 1 displaystyle x 8 x 7 x 6 x 2 1 11 1 5900053739013639252 x 7 x 5 x 4 x 3 x 2 x 1 displaystyle x 7 x 5 x 4 x 3 x 2 x 1 12 1 5911843056671025063 x 9 x 8 x 7 x 2 1 displaystyle x 9 x 8 x 7 x 2 1 13 1 6013473337876367242 x 7 x 6 x 4 x 2 1 displaystyle x 7 x 6 x 4 x 2 1 14 1 6017558616969832557 x 10 x 9 x 8 x 2 1 displaystyle x 10 x 9 x 8 x 2 1 15 1 6079827279282011499 x 9 x 7 x 6 x 5 x 4 x 3 x 2 x 1 displaystyle x 9 x 7 x 6 x 5 x 4 x 3 x 2 x 1 16 1 6081283851873869594 x 11 x 10 x 9 x 2 1 displaystyle x 11 x 10 x 9 x 2 1 17 1 6119303965641198198 x 9 x 8 x 6 x 4 x 2 1 displaystyle x 9 x 8 x 6 x 4 x 2 1 18 1 6119834212464921559 x 12 x 11 x 10 x 2 1 displaystyle x 12 x 11 x 10 x 2 1 19 1 6143068232571485146 x 11 x 9 x 8 x 7 x 6 x 5 x 4 x 3 x 2 x 1 displaystyle x 11 x 9 x 8 x 7 x 6 x 5 x 4 x 3 x 2 x 1 20 1 6143264149391271041 x 13 x 12 x 11 x 2 1 displaystyle x 13 x 12 x 11 x 2 1 21 1 6157492027552106107 x 11 x 10 x 8 x 6 x 4 x 2 1 displaystyle x 11 x 10 x 8 x 6 x 4 x 2 1 22 1 6157565175408433755 x 14 x 13 x 12 x 2 1 displaystyle x 14 x 13 x 12 x 2 1 23 1 6166296843945727036 x 13 x 11 x 10 x 9 x 8 x 7 x 6 x 5 x 4 x 3 x 2 x 1 displaystyle x 13 x 11 x 10 x 9 x 8 x 7 x 6 x 5 x 4 x 3 x 2 x 1 24 1 6166324353879050082 x 15 x 14 x 13 x 2 1 displaystyle x 15 x 14 x 13 x 2 1 25 1 6171692963550925635 x 13 x 12 x 10 x 8 x 6 x 4 x 2 1 displaystyle x 13 x 12 x 10 x 8 x 6 x 4 x 2 1 26 1 6171703361720168476 x 16 x 15 x 14 x 2 1 displaystyle x 16 x 15 x 14 x 2 1 27 1 6175009054313240144 x 15 x 13 x 12 x 11 x 10 x 9 x 8 x 7 x 6 x 5 x 4 x 3 x 2 x 1 displaystyle x 15 x 13 x 12 x 11 x 10 x 9 x 8 x 7 x 6 x 5 x 4 x 3 x 2 x 1 28 1 6175012998129095573 x 17 x 16 x 15 x 2 1 displaystyle x 17 x 16 x 15 x 2 1 29 1 6177050699575566445 x 15 x 14 x 12 x 10 x 8 x 6 x 4 x 2 1 displaystyle x 15 x 14 x 12 x 10 x 8 x 6 x 4 x 2 1 30 1 6177052198884550971 x 18 x 17 x 16 x 2 1 displaystyle x 18 x 17 x 16 x 2 1 31 1 6178309287889738637 x 17 x 15 x 14 x 13 x 12 x 11 x 10 x 9 x 8 x 7 x 6 x 5 x 4 x 3 x 2 x 1 displaystyle x 17 x 15 x 14 x 13 x 12 x 11 x 10 x 9 x 8 x 7 x 6 x 5 x 4 x 3 x 2 x 1 32 1 6178309858778122988 x 19 x 18 x 17 x 2 1 displaystyle x 19 x 18 x 17 x 2 1 33 1 6179085817671650120 x 17 x 16 x 14 x 12 x 10 x 8 x 6 x 4 x 2 1 displaystyle x 17 x 16 x 14 x 12 x 10 x 8 x 6 x 4 x 2 1 34 1 6179086035278053858 x 20 x 19 x 18 x 2 1 displaystyle x 20 x 19 x 18 x 2 1 35 1 6179565199535642392 x 19 x 17 x 16 x 15 x 14 x 13 x 12 x 11 x 10 x 9 x 8 x 7 x 6 x 5 x 4 x 3 x 2 x 1 displaystyle x 19 x 17 x 16 x 15 x 14 x 13 x 12 x 11 x 10 x 9 x 8 x 7 x 6 x 5 x 4 x 3 x 2 x 1 36 1 6179565282539765702 x 21 x 20 x 19 x 2 1 displaystyle x 21 x 20 x 19 x 2 1 37 1 6179861253852491516 x 19 x 18 x 16 x 14 x 12 x 10 x 8 x 6 x 4 x 2 1 displaystyle x 19 x 18 x 16 x 14 x 12 x 10 x 8 x 6 x 4 x 2 1 38 1 6179861285528618287 x 22 x 21 x 20 x 2 1 displaystyle x 22 x 21 x 20 x 2 1 xangxing aekikhM J Bertin A Decomps Guilloux M Grandet Hugot M Pathiaux Delefosse J P Schreiber Pisot and Salem Numbers Birkhauser 1992 D W Boyd Pisot and Salem numbers in intervals of the real line Math Comp 32 1978 pp 1244 1260 bthkhwamekiywkbkhnitsastrniyngepnokhrng khunsamarthchwywikiphiediyidodyephimkhxmul duephimthi sthaniyxy khnitsastrekhathungcak https th wikipedia org w index php title canwnpios wichyrkhwn amp oldid 4861197, wikipedia, วิกิ หนังสือ, หนังสือ, ห้องสมุด,